Students will be able to:
use scientific notation to write very large or very small quantities.
convert numbers written in scientific notation to standard form.
Very large and very small numbers can be estimated using scientific notation in order to make the numbers more convenient to use. Scientific notation also makes it easier to understand the magnitude of a number and compare it with other numbers.
Scientific notation is a way to write very large numbers or very small numbers. Scientists use scientific notation as a more efficient and convenient way of writing such numbers.
A number in scientific notation is the product of two factors.
The first factor must be greater than or equal to 1 and less than 10.
The second factor is a power of 10.
Very large number example: 65,000,000 → 6.5 × 10^7
[Callouts: Place the decimal point after the first nonzero digit. Count the number of digits after the decimal point. The exponent is positive.]
Very small number example: 0.0000987 → 9.87 × 10^(-5)
[Callouts: Place the decimal point after the first nonzero digit. Count the number of digits before the decimal point. The exponent is negative.]
To write a number in scientific notation in standard form, multiply the decimal number by the power of 10.